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Finding the Fourth Proportional to 97,098.26, 145,682.46 and 33,927.68

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Solution

The fourth proportional to 97,098.26, 145,682.46 and 33,927.68 is: 50,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.26 : 145,682.46 = 33,927.68 : x
  2. Step 2: Convert to fraction form
    97,098.26/145,682.46 = 33,927.68/x
  3. Step 3: Cross multiply
    97,098.26x = 145,682.46 × 33,927.68
  4. Step 4: Simplify right side
    97,098.26x = 4,942,667,884.49
  5. Step 5: Solve for x
    x = 4,942,667,884.49/97,098.26
  6. Step 6: Final answer
    x = 50,903.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.